INVARIANT IMBEDDING AND THE COMPUTATION OF INTERNAL FIELDS FOR TRANSPORT PROCESSES.
Abstract
A classical problem of long standing in the theory of transport processes is the determination of the internal intensity function in a finite, homogeneous, isotropically scattering slab which is illuminated by uniform parallel rays of radiation. The authors provide an effective computational solution for this problem using an imbedding technique. They show how to compute the source function, characterized as the solution of a system of ordinary differential equations with a complete set of initial conditions. The X and Y functions of Chandrasekhar play a key role. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1965
- Accession Number
- AD0610752
Entities
People
- Harriet H. Kagiwada
- Richard E. Bellman
- Robert E. Kalaba
- Sueo Ueno
Organizations
- RAND Corporation